New existence of multiple solutions for nonhomogeneous Schrodinger-Kirchhoff problems involving the fractional p-Laplacian with sign-changing potential

In this paper, we prove the existence of multiple solutions for the following fractional p-Laplacian equation of Schrodinger-Kirchhoff type with sign-changing potential where denotes the fractional p-Laplacian of order , , , V(x) is allowed to be sign-changing and is a perturbation. Under some certain assumptions on f which is much weaker than those in Pucci et al. (Calc. Var. 54 : 2785-2806 2015), by using variation methods, we obtain infinitely many solutions for this equations. Our results generalize and extend some existing results.